Two-Term Spectral Asymptotics in Linear Elasticity

Matteo Capoferri, Leonid Friedlander, Michael Levitin, Dmitri Vassiliev

Research output: Contribution to journalArticlepeer-review

Abstract

We establish the two-term spectral asymptotics for boundary value problems of linear elasticity on a smooth compact Riemannian manifold of arbitrary dimension. We also present some illustrative examples and give a historical overview of the subject. In particular, we correct erroneous results published by Liu (J Geom Anal 31:10164–10193, 2021).

Original languageEnglish (US)
Article number242
JournalJournal of Geometric Analysis
Volume33
Issue number8
DOIs
StatePublished - Aug 2023

Keywords

  • Dirichlet conditions
  • Eigenvalue counting function
  • Elasticity
  • Free boundary conditions
  • Rayleigh waves

ASJC Scopus subject areas

  • Geometry and Topology

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